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Finding the Fourth Proportional to 293.16, 404.80 and 188.30

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Solution

The fourth proportional to 293.16, 404.80 and 188.30 is: 260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 404.80 = 188.30 : x
  2. Step 2: Convert to fraction form
    293.16/404.80 = 188.30/x
  3. Step 3: Cross multiply
    293.16x = 404.80 × 188.30
  4. Step 4: Simplify right side
    293.16x = 76,223.84
  5. Step 5: Solve for x
    x = 76,223.84/293.16
  6. Step 6: Final answer
    x = 260.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.